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Finding the Fourth Proportional to 155.60, 214.22 and 147.92

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Solution

The fourth proportional to 155.60, 214.22 and 147.92 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 214.22 = 147.92 : x
  2. Step 2: Convert to fraction form
    155.60/214.22 = 147.92/x
  3. Step 3: Cross multiply
    155.60x = 214.22 × 147.92
  4. Step 4: Simplify right side
    155.60x = 31,687.42
  5. Step 5: Solve for x
    x = 31,687.42/155.60
  6. Step 6: Final answer
    x = 203.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.